A 27.76 N crate is being lowered down at a constant rate along an inclined ramp by a massless rope. Find the magnitude of force F in N if the angle between the ramp and the horizontal is 30 degrees and coefficient of kinetic friction is 0.2. See the figure attached. My attempt at solution:

Sum F y = 0
F y = F n - F g y
F n = m g cos(30)

Sum F x = F g x - F - f k = 0
F = F g x - f k
F = m g sin(30) - mu k Fn
F = m g sin(30) - 0.2(m g cos(30))

F = 27.76sin(30) - 0.2(27.76cos(30))
F = 9 N

How will each of the following changes in demand and/or supply affect equilibrium price and equilibrium quantity in a competitive market; that is, do price and quantity increase or decrease, or are the answers indeterminate because they depend on the magnitudes of the shifts?

Part a determine the magnitude of the x component of f using scalar notation. fx f x = nothing lb request answer part b determine the magnitude of the y component of f using scalar notation. fy f y = nothing lb request answer part c determine the magnitude of the z component of f using scalar notation. fz f z = nothing lb request answer provide feedback figure1 of 1a force vector acting on a ring attached to the ground is shown in the xyz space together with its x, y, and z components lying on the corresponding positive axes. the ring is located at the origin. force f is located in the first octant. f makes an angle of 60 degrees with its x component and an angle of 45 degrees with its y component. a force vector acting on a ring attached to the ground is shown in the xyz space together with its x, y, and z components lying on the corresponding positive axes. the ring is located at the origin. force f is located in the first octant. f makes an angle of 60 degrees with its x component and an angle of 45 degrees with its y component.

Two vectors are shown. which statement best compares the vectors? vector x has greater magnitude than vector y. vector y has greater magnitude than vector x. the vectors have the same displacement. the vectors have the same direction.